9.397 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.035 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.036 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.037 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.037 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.049 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.058 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.065 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.065 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.066 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.069 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.091 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.091 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.091 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.094 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.094 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.111 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.111 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.111 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.111 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.113 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.113 * [taylor]: Taking taylor expansion of -1 in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.114 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.114 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.114 * [taylor]: Taking taylor expansion of 1.0 in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.116 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.116 * [taylor]: Taking taylor expansion of -1 in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.138 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.138 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.138 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.139 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.139 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.148 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.148 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.148 * [taylor]: Taking taylor expansion of 1.0 in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.150 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.157 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.157 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.157 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.159 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.167 * * * [progress]: simplifying candidates 0.168 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma 1 (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (/ (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (* (* (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (sqrt x)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.175 * * [simplify]: iteration 0 : 299 enodes (cost 1161 ) 0.180 * * [simplify]: iteration 1 : 921 enodes (cost 822 ) 0.201 * * [simplify]: iteration 2 : 5001 enodes (cost 744 ) 0.205 * [simplify]: Simplified to: (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) 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(sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (pow (- (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (+ (fma (sqrt x) (sqrt (+ x 1.0)) x) x) 1.0) (- (sqrt x)) (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) 0.205 * * * [progress]: adding candidates to table 0.320 * * [progress]: iteration 2 / 4 0.320 * * * [progress]: picking best candidate 0.328 * * * * [pick]: Picked # 0.328 * * * [progress]: localizing error 0.334 * * * [progress]: generating rewritten candidates 0.335 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.346 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.354 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.363 * * * [progress]: generating series expansions 0.363 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.364 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.364 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.364 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.364 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.368 * [taylor]: Taking taylor expansion of 1.0 in x 0.368 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.368 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.368 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.449 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.449 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.449 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.450 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.453 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.453 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.454 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.474 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.474 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.476 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.478 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.478 * [taylor]: Taking taylor expansion of -1 in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.480 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.480 * [taylor]: Taking taylor expansion of 1.0 in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.500 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.500 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.500 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.500 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.500 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.503 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.503 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.530 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.530 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.530 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.531 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.531 * [taylor]: Taking taylor expansion of 1.0 in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.533 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.534 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.534 * [taylor]: Taking taylor expansion of 1.0 in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.549 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.549 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.549 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.549 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.549 * [taylor]: Taking taylor expansion of -1 in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.550 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.552 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.552 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.552 * [taylor]: Taking taylor expansion of -1 in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.553 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.553 * [taylor]: Taking taylor expansion of 1.0 in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.568 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.568 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.568 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.568 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.570 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.570 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.579 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.579 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.579 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.581 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.588 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.588 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.588 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.588 * [taylor]: Taking taylor expansion of 1.0 in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.590 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.597 * * * [progress]: simplifying candidates 0.599 * [simplify]: Simplifying using # : (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (log (+ 1.0 0)) (log (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (+ 1.0 0)) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) 1) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) 1) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ (+ 1.0 0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (* 1.0 1.0) (- (* 0 0) (* 1.0 0)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (- 1.0 0)) (expm1 (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (+ (sqrt (+ x 1.0)) (sqrt x))) (* (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.611 * * [simplify]: iteration 0 : 409 enodes (cost 789 ) 0.618 * * [simplify]: iteration 1 : 1675 enodes (cost 716 ) 0.648 * * [simplify]: iteration 2 : 5001 enodes (cost 675 ) 0.652 * [simplify]: Simplified to: (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 0 1.0) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ 1.0 (* (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3)) 1)) (/ 1.0 (* (+ x (- 1.0 x)) 1)) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (* 1.0 1.0)) (* 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (expm1 (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (pow (+ (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3)) (- (+ (+ x 1.0) x) (* (sqrt (+ x 1.0)) (sqrt x))) 1.0 (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (- (fma 1.0 (/ 1 (sqrt 1.0)) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (fma +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)) (* 0.5 (/ x (pow (sqrt 1.0) 3))))) (+ (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (/ (- (* +nan.0 x)) 1.0)) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) 0.652 * * * [progress]: adding candidates to table 0.822 * * [progress]: iteration 3 / 4 0.822 * * * [progress]: picking best candidate 0.843 * * * * [pick]: Picked # 0.843 * * * [progress]: localizing error 0.853 * * * [progress]: generating rewritten candidates 0.853 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.900 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.912 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.924 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.960 * * * [progress]: generating series expansions 0.960 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.961 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.961 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.961 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.961 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.961 * [taylor]: Taking taylor expansion of 1.0 in x 0.962 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.962 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.962 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.973 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.974 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 0.974 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.974 * [taylor]: Taking taylor expansion of 1.0 in x 0.974 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.974 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.974 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.974 * [taylor]: Taking taylor expansion of 1.0 in x 0.976 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.976 * [taylor]: Taking taylor expansion of x in x 1.034 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.034 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.034 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.034 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.034 * [taylor]: Taking taylor expansion of 1.0 in x 1.035 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.035 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.036 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.036 * [taylor]: Taking taylor expansion of 1.0 in x 1.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.040 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.040 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.040 * [taylor]: Taking taylor expansion of 1.0 in x 1.041 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.041 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.042 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.043 * [taylor]: Taking taylor expansion of 1.0 in x 1.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.086 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.086 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.086 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.086 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.086 * [taylor]: Taking taylor expansion of 1.0 in x 1.086 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.086 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.086 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.086 * [taylor]: Taking taylor expansion of -1 in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.088 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.088 * [taylor]: Taking taylor expansion of 1.0 in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.092 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.092 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.092 * [taylor]: Taking taylor expansion of 1.0 in x 1.093 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.093 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.093 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.093 * [taylor]: Taking taylor expansion of -1 in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.094 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.094 * [taylor]: Taking taylor expansion of 1.0 in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.131 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.131 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.131 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.131 * [taylor]: Taking taylor expansion of 1.0 in x 1.131 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.131 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.131 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.131 * [taylor]: Taking taylor expansion of 1.0 in x 1.133 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.141 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.141 * [taylor]: Taking taylor expansion of 1.0 in x 1.141 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.141 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.141 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.141 * [taylor]: Taking taylor expansion of 1.0 in x 1.143 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.222 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.223 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.223 * [taylor]: Taking taylor expansion of 1.0 in x 1.223 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.223 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.224 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.224 * [taylor]: Taking taylor expansion of 1.0 in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.227 * [taylor]: Taking taylor expansion of 1.0 in x 1.227 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.227 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.228 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.228 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.228 * [taylor]: Taking taylor expansion of 1.0 in x 1.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.228 * [taylor]: Taking taylor expansion of x in x 1.249 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.249 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.249 * [taylor]: Taking taylor expansion of 1.0 in x 1.249 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.249 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.249 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.249 * [taylor]: Taking taylor expansion of -1 in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.250 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.251 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.251 * [taylor]: Taking taylor expansion of 1.0 in x 1.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.253 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.253 * [taylor]: Taking taylor expansion of 1.0 in x 1.253 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.253 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.253 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.253 * [taylor]: Taking taylor expansion of -1 in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.255 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.255 * [taylor]: Taking taylor expansion of 1.0 in x 1.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.276 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.276 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.276 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.276 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.276 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.276 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.278 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.280 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.280 * [taylor]: Taking taylor expansion of 1.0 in x 1.280 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.280 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.280 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.280 * [taylor]: Taking taylor expansion of x in x 1.280 * [taylor]: Taking taylor expansion of 1.0 in x 1.282 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.282 * [taylor]: Taking taylor expansion of x in x 1.362 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.362 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.362 * [taylor]: Taking taylor expansion of 1.0 in x 1.362 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.362 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.363 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.363 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.363 * [taylor]: Taking taylor expansion of 1.0 in x 1.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.366 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.366 * [taylor]: Taking taylor expansion of 1.0 in x 1.366 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.366 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.367 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.394 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.394 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.394 * [taylor]: Taking taylor expansion of 1.0 in x 1.394 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.394 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.394 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.394 * [taylor]: Taking taylor expansion of -1 in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.395 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.395 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.395 * [taylor]: Taking taylor expansion of 1.0 in x 1.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.398 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.398 * [taylor]: Taking taylor expansion of 1.0 in x 1.398 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.398 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.398 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.398 * [taylor]: Taking taylor expansion of -1 in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.399 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.399 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.399 * [taylor]: Taking taylor expansion of 1.0 in x 1.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.399 * [taylor]: Taking taylor expansion of x in x 1.420 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.421 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 1.421 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 1.421 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.421 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.421 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.421 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.421 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.421 * [taylor]: Taking taylor expansion of 1.0 in x 1.423 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.439 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 1.440 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.440 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.440 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.440 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.440 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of 1.0 in x 1.442 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.459 * [taylor]: Taking taylor expansion of 1.0 in x 1.623 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 1.623 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.623 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.623 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.623 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.623 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.625 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.625 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.625 * [taylor]: Taking taylor expansion of 1.0 in x 1.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.642 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.643 * [taylor]: Taking taylor expansion of 1.0 in x 1.643 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.643 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.643 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.643 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.643 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.643 * [taylor]: Taking taylor expansion of x in x 1.645 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.645 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.645 * [taylor]: Taking taylor expansion of 1.0 in x 1.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.645 * [taylor]: Taking taylor expansion of x in x 1.655 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.656 * [taylor]: Taking taylor expansion of 1.0 in x 1.699 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 1.699 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.699 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.699 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.699 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.699 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.699 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.699 * [taylor]: Taking taylor expansion of -1 in x 1.699 * [taylor]: Taking taylor expansion of x in x 1.701 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.701 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.701 * [taylor]: Taking taylor expansion of 1.0 in x 1.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.701 * [taylor]: Taking taylor expansion of x in x 1.713 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.713 * [taylor]: Taking taylor expansion of 1.0 in x 1.714 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.714 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.714 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.714 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.714 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.714 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.714 * [taylor]: Taking taylor expansion of -1 in x 1.714 * [taylor]: Taking taylor expansion of x in x 1.723 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.723 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.723 * [taylor]: Taking taylor expansion of 1.0 in x 1.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.723 * [taylor]: Taking taylor expansion of x in x 1.734 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.734 * [taylor]: Taking taylor expansion of 1.0 in x 1.778 * * * [progress]: simplifying candidates 1.784 * [simplify]: Simplifying using # : (expm1 (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log1p (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (+ 1 1) (+ (log (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (exp (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (* (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))))) (cbrt (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (* (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (+ 1.0 0)) (sqrt (+ 1.0 0))) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))))) (* (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))))) (* (sqrt (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))))) (* (sqrt (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1)) (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1))) (* (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1)) (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1))) (* (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1))) (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)))) (* (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1))) (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)))) (* (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1))) (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)))) (* (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1))) (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)))) (* (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1)) (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1))) (* (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1)) (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1))) (* (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))))) (* (sqrt (/ (sqrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (sqrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (sqrt (+ 1.0 0)) 1)) (sqrt (/ (sqrt (+ 1.0 0)) 1))) (* (sqrt (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt (+ 1.0 0)) 1)) (sqrt (/ (sqrt (+ 1.0 0)) 1))) (* (sqrt (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt (+ 1.0 0)) (sqrt 1))) (sqrt (/ (sqrt (+ 1.0 0)) (sqrt 1)))) (* (sqrt (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt (+ 1.0 0)) (sqrt 1))) (sqrt (/ (sqrt (+ 1.0 0)) (sqrt 1)))) (* (sqrt (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 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(+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3))) (/ 1.0 (* (+ x (- 1.0 x)) 1)) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (* 1.0 1.0)) (* 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (expm1 (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log1p (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (pow (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (fabs (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (fabs (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (fabs (cbrt (+ 1.0 0))) (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (fabs (cbrt (+ 1.0 0))) (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (fabs (cbrt (+ 1.0 0))) (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (fabs (cbrt (+ 1.0 0))) (sqrt (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (/ (sqrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt 1.0)) (sqrt (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt 1.0)) (sqrt (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt 1.0)) (sqrt (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt 1.0)) (sqrt (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 1 (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 1 (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)))) (sqrt (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (+ 1.0 0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 1/2 (sqrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (+ (- (fma 3/8 (/ (pow x 2) (pow (sqrt 1.0) 3)) (sqrt 1.0)) (fma +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)) (* 1/2 (/ x (sqrt 1.0))))) (- (* +nan.0 (pow x 2)) (fma +nan.0 (/ (pow x 2) (sqrt 1.0)) (- (* +nan.0 x))))) (fma (- +nan.0) (/ (/ 1.0 x) x) (fma +nan.0 (/ 1.0 x) (* (- 0 1.0) +nan.0))) (fma (- +nan.0) (/ (/ 1.0 x) x) (fma +nan.0 (/ 1.0 x) (* (- 0 1.0) +nan.0))) (+ (- (fma 1.0 (/ 1 (sqrt 1.0)) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (fma +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)) (* 0.5 (/ x (pow (sqrt 1.0) 3))))) (+ (+ (* (/ (pow x 2) 1.0) (/ +nan.0 1.0)) (/ (- (* +nan.0 x)) 1.0)) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (fma 1.0 (/ 1 (sqrt 1.0)) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (fma +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)) (* 0.5 (/ x (pow (sqrt 1.0) 3))))) (+ (+ (* (/ (pow x 2) 1.0) (/ +nan.0 1.0)) (/ (- (* +nan.0 x)) 1.0)) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (fma 5/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (sqrt (sqrt 1.0))) (* 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) (+ (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* (* +nan.0 (pow x 2)) (- (sqrt (/ 1 (sqrt 1.0))) (sqrt (/ 1 (pow (sqrt 1.0) 5))))))) (+ (- (* (sqrt +nan.0) (sqrt 1.0)) (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow x 2))))) (* +nan.0 (- (/ (sqrt 1.0) (* (sqrt +nan.0) x)) (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow x 2)))))) (+ (- (* (sqrt +nan.0) (sqrt 1.0)) (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow x 2))))) (* +nan.0 (- (/ (sqrt 1.0) (* (sqrt +nan.0) x)) (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow x 2)))))) 1.915 * * * [progress]: adding candidates to table 2.421 * * [progress]: iteration 4 / 4 2.421 * * * [progress]: picking best candidate 2.448 * * * * [pick]: Picked # 2.448 * * * [progress]: localizing error 2.457 * * * [progress]: generating rewritten candidates 2.457 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.477 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.503 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 2.511 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.526 * * * [progress]: generating series expansions 2.526 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.526 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 2.526 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.526 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.526 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.526 * [taylor]: Taking taylor expansion of x in x 2.526 * [taylor]: Taking taylor expansion of 1.0 in x 2.528 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.528 * [taylor]: Taking taylor expansion of x in x 2.529 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.529 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.529 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.529 * [taylor]: Taking taylor expansion of x in x 2.529 * [taylor]: Taking taylor expansion of 1.0 in x 2.531 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.531 * [taylor]: Taking taylor expansion of x in x 2.551 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 2.551 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.551 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.551 * [taylor]: Taking taylor expansion of x in x 2.552 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.552 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.552 * [taylor]: Taking taylor expansion of 1.0 in x 2.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.552 * [taylor]: Taking taylor expansion of x in x 2.554 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.554 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.554 * [taylor]: Taking taylor expansion of x in x 2.555 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.555 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.555 * [taylor]: Taking taylor expansion of 1.0 in x 2.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.555 * [taylor]: Taking taylor expansion of x in x 2.570 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 2.570 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.570 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.570 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.570 * [taylor]: Taking taylor expansion of -1 in x 2.570 * [taylor]: Taking taylor expansion of x in x 2.571 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.571 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.571 * [taylor]: Taking taylor expansion of 1.0 in x 2.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.571 * [taylor]: Taking taylor expansion of x in x 2.573 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.573 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.573 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.573 * [taylor]: Taking taylor expansion of -1 in x 2.573 * [taylor]: Taking taylor expansion of x in x 2.574 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.574 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.574 * [taylor]: Taking taylor expansion of 1.0 in x 2.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.574 * [taylor]: Taking taylor expansion of x in x 2.595 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.595 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.595 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.595 * [taylor]: Taking taylor expansion of 1.0 in x 2.595 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.595 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.595 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.595 * [taylor]: Taking taylor expansion of x in x 2.595 * [taylor]: Taking taylor expansion of 1.0 in x 2.597 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.597 * [taylor]: Taking taylor expansion of x in x 2.599 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.599 * [taylor]: Taking taylor expansion of 1.0 in x 2.599 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.599 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.599 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.599 * [taylor]: Taking taylor expansion of x in x 2.599 * [taylor]: Taking taylor expansion of 1.0 in x 2.601 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.601 * [taylor]: Taking taylor expansion of x in x 2.682 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.682 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.682 * [taylor]: Taking taylor expansion of 1.0 in x 2.682 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.682 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.682 * [taylor]: Taking taylor expansion of x in x 2.684 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.684 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.684 * [taylor]: Taking taylor expansion of 1.0 in x 2.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.684 * [taylor]: Taking taylor expansion of x in x 2.686 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.686 * [taylor]: Taking taylor expansion of 1.0 in x 2.686 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.686 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.686 * [taylor]: Taking taylor expansion of x in x 2.687 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.687 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.687 * [taylor]: Taking taylor expansion of 1.0 in x 2.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.688 * [taylor]: Taking taylor expansion of x in x 2.708 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.708 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.708 * [taylor]: Taking taylor expansion of 1.0 in x 2.708 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.708 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.708 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.708 * [taylor]: Taking taylor expansion of -1 in x 2.708 * [taylor]: Taking taylor expansion of x in x 2.710 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.710 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.710 * [taylor]: Taking taylor expansion of 1.0 in x 2.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.710 * [taylor]: Taking taylor expansion of x in x 2.713 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.713 * [taylor]: Taking taylor expansion of 1.0 in x 2.713 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.713 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.713 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.713 * [taylor]: Taking taylor expansion of -1 in x 2.713 * [taylor]: Taking taylor expansion of x in x 2.714 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.714 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.714 * [taylor]: Taking taylor expansion of 1.0 in x 2.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.714 * [taylor]: Taking taylor expansion of x in x 2.735 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 2.735 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.735 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.735 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.735 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.735 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.735 * [taylor]: Taking taylor expansion of x in x 2.735 * [taylor]: Taking taylor expansion of 1.0 in x 2.737 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.737 * [taylor]: Taking taylor expansion of x in x 2.744 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.744 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.744 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.744 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.744 * [taylor]: Taking taylor expansion of x in x 2.744 * [taylor]: Taking taylor expansion of 1.0 in x 2.746 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.746 * [taylor]: Taking taylor expansion of x in x 2.813 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.813 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.813 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.813 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.813 * [taylor]: Taking taylor expansion of x in x 2.815 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.815 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.815 * [taylor]: Taking taylor expansion of 1.0 in x 2.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.815 * [taylor]: Taking taylor expansion of x in x 2.824 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.824 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.824 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.824 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.824 * [taylor]: Taking taylor expansion of x in x 2.825 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.825 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.825 * [taylor]: Taking taylor expansion of 1.0 in x 2.825 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.825 * [taylor]: Taking taylor expansion of x in x 2.861 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.861 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.861 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.861 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.861 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.861 * [taylor]: Taking taylor expansion of -1 in x 2.861 * [taylor]: Taking taylor expansion of x in x 2.862 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.862 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.862 * [taylor]: Taking taylor expansion of 1.0 in x 2.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.862 * [taylor]: Taking taylor expansion of x in x 2.872 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.872 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.872 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.872 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.872 * [taylor]: Taking taylor expansion of -1 in x 2.872 * [taylor]: Taking taylor expansion of x in x 2.873 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.873 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.873 * [taylor]: Taking taylor expansion of 1.0 in x 2.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.873 * [taylor]: Taking taylor expansion of x in x 2.902 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.903 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.903 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.903 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.903 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.903 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.903 * [taylor]: Taking taylor expansion of x in x 2.903 * [taylor]: Taking taylor expansion of 1.0 in x 2.904 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.904 * [taylor]: Taking taylor expansion of x in x 2.911 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.911 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.911 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.911 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.911 * [taylor]: Taking taylor expansion of x in x 2.911 * [taylor]: Taking taylor expansion of 1.0 in x 2.913 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.913 * [taylor]: Taking taylor expansion of x in x 2.983 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.983 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.983 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.983 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.983 * [taylor]: Taking taylor expansion of x in x 2.984 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.984 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.984 * [taylor]: Taking taylor expansion of 1.0 in x 2.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.985 * [taylor]: Taking taylor expansion of x in x 2.993 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.993 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.993 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.993 * [taylor]: Taking taylor expansion of x in x 2.995 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.995 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.995 * [taylor]: Taking taylor expansion of 1.0 in x 2.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.995 * [taylor]: Taking taylor expansion of x in x 3.031 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.031 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.031 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.031 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.031 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.031 * [taylor]: Taking taylor expansion of -1 in x 3.031 * [taylor]: Taking taylor expansion of x in x 3.032 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.032 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.032 * [taylor]: Taking taylor expansion of 1.0 in x 3.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.032 * [taylor]: Taking taylor expansion of x in x 3.042 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.042 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.042 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.042 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.042 * [taylor]: Taking taylor expansion of -1 in x 3.042 * [taylor]: Taking taylor expansion of x in x 3.043 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.043 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.043 * [taylor]: Taking taylor expansion of 1.0 in x 3.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.043 * [taylor]: Taking taylor expansion of x in x 3.072 * * * [progress]: simplifying candidates 3.075 * [simplify]: Simplifying using # : (expm1 (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log1p (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ 1 1) (+ (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (sqrt (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)))) (* (sqrt (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 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3.493 * * * [regime]: Found split indices: #